A house is to be connected to a power line that runs along a grid represented by the equation 1 5 2 y x = − + . The coordinates of the house are (1, –3). What is the shortest length of wire that is needed to connect the house up to the main power line? (Note: 1 unit on your grid = 4 metres).

The sum of two numbers is 12 and their difference is 18 what are the two numbers

Rena is building a 1: 180 scale model of a real castle. her model has a rectangular base that is 3 feet wide and 4 feet long what is the area of the base of the actual castle in square feet

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)